Approximate solution of the system of nonlinear integral equation by Newton–Kantorovich method
The Newton–Kantorovich method is developed for solving the system of nonlinear integral equations. The existence and uniqueness of the solution are proved, and the rate of convergence of the approximate solution is established. Finally, numerical examples are provided to show the validity and the ef...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2010
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| Online Access: | http://psasir.upm.edu.my/id/eprint/13255/ http://psasir.upm.edu.my/id/eprint/13255/1/Approximate%20solution%20of%20the%20system%20of%20nonlinear%20integral%20equation%20by%20Newton.pdf |
| _version_ | 1848842062911242240 |
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| author | Eshkuratov, Zainidin K. Ahmedov, Anvarjon Nik Long, Nik Mohd Asri Shafiq, Osama |
| author_facet | Eshkuratov, Zainidin K. Ahmedov, Anvarjon Nik Long, Nik Mohd Asri Shafiq, Osama |
| author_sort | Eshkuratov, Zainidin K. |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | The Newton–Kantorovich method is developed for solving the system of nonlinear integral equations. The existence and uniqueness of the solution are proved, and the rate of convergence of the approximate solution is established. Finally, numerical examples are provided to show the validity and the efficiency of the method presented. |
| first_indexed | 2025-11-15T07:53:10Z |
| format | Article |
| id | upm-13255 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T07:53:10Z |
| publishDate | 2010 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-132552015-09-10T04:02:43Z http://psasir.upm.edu.my/id/eprint/13255/ Approximate solution of the system of nonlinear integral equation by Newton–Kantorovich method Eshkuratov, Zainidin K. Ahmedov, Anvarjon Nik Long, Nik Mohd Asri Shafiq, Osama The Newton–Kantorovich method is developed for solving the system of nonlinear integral equations. The existence and uniqueness of the solution are proved, and the rate of convergence of the approximate solution is established. Finally, numerical examples are provided to show the validity and the efficiency of the method presented. Elsevier 2010 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/13255/1/Approximate%20solution%20of%20the%20system%20of%20nonlinear%20integral%20equation%20by%20Newton.pdf Eshkuratov, Zainidin K. and Ahmedov, Anvarjon and Nik Long, Nik Mohd Asri and Shafiq, Osama (2010) Approximate solution of the system of nonlinear integral equation by Newton–Kantorovich method. Applied Mathematics and Computation, 217 (7). pp. 3717-3725. ISSN 0096-3003 10.1016/j.amc.2010.09.068 |
| spellingShingle | Eshkuratov, Zainidin K. Ahmedov, Anvarjon Nik Long, Nik Mohd Asri Shafiq, Osama Approximate solution of the system of nonlinear integral equation by Newton–Kantorovich method |
| title | Approximate solution of the system of nonlinear integral equation by Newton–Kantorovich method |
| title_full | Approximate solution of the system of nonlinear integral equation by Newton–Kantorovich method |
| title_fullStr | Approximate solution of the system of nonlinear integral equation by Newton–Kantorovich method |
| title_full_unstemmed | Approximate solution of the system of nonlinear integral equation by Newton–Kantorovich method |
| title_short | Approximate solution of the system of nonlinear integral equation by Newton–Kantorovich method |
| title_sort | approximate solution of the system of nonlinear integral equation by newton–kantorovich method |
| url | http://psasir.upm.edu.my/id/eprint/13255/ http://psasir.upm.edu.my/id/eprint/13255/ http://psasir.upm.edu.my/id/eprint/13255/1/Approximate%20solution%20of%20the%20system%20of%20nonlinear%20integral%20equation%20by%20Newton.pdf |